東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

The random matrix theory of the classical compact groups DUP_1

Record Type:	Electronic resources : Monograph/item
Title/Author:	The random matrix theory of the classical compact groups DUP_1/ Elizabeth S. Meckes.
Author:	Meckes, Elizabeth S.
Published:	Cambridge :Cambridge University Press, : 2019.,
Description:	xi, 212 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Jul 2019).
Subject:	Random matrices. -
Online resource:	https://doi.org/10.1017/9781108303453
ISBN:	9781108303453

The random matrix theory of the classical compact groups DUP_1
Meckes, Elizabeth S.

The random matrix theory of the classical compact groups DUP_1[electronic resource] /Elizabeth S. Meckes. - Cambridge :Cambridge University Press,2019. - xi, 212 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;218. - Cambridge tracts in mathematics ;218..

Title from publisher's bibliographic system (viewed on 05 Jul 2019).

This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the groups themselves and six different constructions of Haar measure. Classical and recent results are then presented in a digested, accessible form, including the following: results on the joint distributions of the entries; an extensive treatment of eigenvalue distributions, including the Weyl integration formula, moment formulae, and limit theorems and large deviations for the spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible introduction for students in related fields.

ISBN: 9781108303453Subjects--Topical Terms:

646309
Random matrices.

LC Class. No.: QA196.5 / .M43 2019

Dewey Class. No.: 512.9434

The random matrix theory of the classical compact groups DUP_1
LDR:01930nmm a22002658a 4500 001 2378167
003 UkCbUP
005 20190809142501.0
006 m d
007 cr nn 008maaau
008 250304s2019 enk o 1 0 eng d
020 $a 9781108303453 $q (electronic bk.)
020 $a 9781108419529 $q (hardback)
035 $a CR9781108303453
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 0 0 $a QA196.5 $b .M43 2019
082 0 0 $a 512.9434 $2 23
090 $a QA196.5 $b .M487 2019
100 1 $a Meckes, Elizabeth S. $3 3470670
245 1 4 $a The random matrix theory of the classical compact groups DUP_1 $h [electronic resource] / $c Elizabeth S. Meckes.
260 $a Cambridge : $b Cambridge University Press, $c 2019.
300 $a xi, 212 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 218
500 $a Title from publisher's bibliographic system (viewed on 05 Jul 2019).
520 $a This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the groups themselves and six different constructions of Haar measure. Classical and recent results are then presented in a digested, accessible form, including the following: results on the joint distributions of the entries; an extensive treatment of eigenvalue distributions, including the Weyl integration formula, moment formulae, and limit theorems and large deviations for the spectral measures; concentration of measure with applications both within random matrix theory and in high dimensional geometry; and results on characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible introduction for students in related fields.
650 0 $a Random matrices. $3 646309
650 0 $a Matrices. $3 516894
830 0 $a Cambridge tracts in mathematics ; $v 218. $3 3469149
856 4 0 $u https://doi.org/10.1017/9781108303453